Show the Proof¶

In [1]:

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

Out[1]:

	step type	requirements	statement
0	instantiation	1, 2, 3, 4, 5, 6, 7, 8, 9	⊢
	: , : , : , : , : , :
1	theorem		⊢
	proveit.numbers.multiplication.disassociation
2	reference	46	⊢
3	reference	33	⊢
4	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
5	instantiation	10	⊢
	: , :
6	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
7	instantiation	47, 12, 11	⊢
	: , : , :
8	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.i_is_complex
9	instantiation	47, 12, 13	⊢
	: , : , :
10	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
11	instantiation	14, 15, 16	⊢
	: , :
12	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
13	instantiation	17, 18, 19	⊢
	: , :
14	theorem		⊢
	proveit.numbers.multiplication.mult_real_closure_bin
15	instantiation	47, 31, 20	⊢
	: , : , :
16	instantiation	47, 21, 22	⊢
	: , : , :
17	theorem		⊢
	proveit.numbers.addition.add_real_closure_bin
18	instantiation	23, 24, 25, 26	⊢
	: , : , :
19	instantiation	27, 28	⊢
	:
20	instantiation	47, 34, 29	⊢
	: , : , :
21	theorem		⊢
	proveit.numbers.number_sets.real_numbers.real_pos_within_real
22	theorem		⊢
	proveit.numbers.number_sets.real_numbers.pi_is_real_pos
23	theorem		⊢
	proveit.numbers.number_sets.real_numbers.all_in_interval_co__is__real
24	theorem		⊢
	proveit.numbers.number_sets.real_numbers.zero_is_real
25	instantiation	47, 31, 30	⊢
	: , : , :
26	theorem		⊢
	proveit.physics.quantum.QPE._scaled_delta_b_floor_in_interval
27	theorem		⊢
	proveit.numbers.negation.real_closure
28	instantiation	47, 31, 32	⊢
	: , : , :
29	instantiation	47, 45, 33	⊢
	: , : , :
30	instantiation	47, 34, 42	⊢
	: , : , :
31	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
32	instantiation	47, 34, 35	⊢
	: , : , :
33	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
34	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
35	instantiation	47, 36, 37	⊢
	: , : , :
36	instantiation	38, 39, 44	⊢
	: , :
37	assumption		⊢
38	theorem		⊢
	proveit.numbers.number_sets.integers.int_interval_within_int
39	instantiation	40, 41, 42	⊢
	: , :
40	theorem		⊢
	proveit.numbers.addition.add_int_closure_bin
41	instantiation	43, 44	⊢
	:
42	instantiation	47, 45, 46	⊢
	: , : , :
43	theorem		⊢
	proveit.numbers.negation.int_closure
44	instantiation	47, 48, 49	⊢
	: , : , :
45	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
46	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
47	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
48	theorem		⊢
	proveit.numbers.number_sets.integers.nat_pos_within_int
49	theorem		⊢
	proveit.physics.quantum.QPE._two_pow_t_minus_one_is_nat_pos